Papelbon retired three of the four batters he faced and struck out Kendry Morales, who had homered in the second inning, to clinch the victory. He has just three blown saves on the season.
Hamels took advantage of a three-run fourth inning that provided a 4-3 lead and rode a five-and-fly to victory. He allowed three runs on nine hits with one walk and four strikeouts. Among his mistakes was slammed over the fence in the second inning by Kendrys Morales.
The veteran is set to start again Tuesday against Washington.
Molina is working his way back from a thumb injury. He remains ahead of schedule and could return sooner than expected. Molina hit .287/.341/.409 over 303 at-bats.
Paxton surrendered four runs - but just one earned - in four innings. He gave up seven runs, walked one, fanned five and threw 88 pitches. He blew a 3-1 lead in the fourth by giving up three unearned runs, courtesy of his own throwing error, a passed ball and two soft singles.
The left-hander will seek to rebound Monday against Texas.
Saltalamacchia, who has six hits in his last 13 at-bats, owns a .397 slugging percentage on the season, which is significantly worse than what he achieved in each of the last three seasons with Boston.
Manager Joe Maddon said the rest of the bullpen is good to go, but did not say who would receive a save chance with McGee out.
Miller was set to start Friday, but will be moved to Saturday. Wainwright will now pitch Friday instead of Saturday.
Ozuna homered for the second straight game, a 398-foot shot to left in the ninth inning. He had already doubled and scored in the fourth and singled. He has a stat line .261/.316/.440 stat line on the year with 17 home runs and 63 RBI.
Simmons is dealing with shoulder soreness, and will need some time before he throws again. Simmons has a 2.91 ERA over 21 2/3 innings.
Rios managed his first multi-hit game since July 29 with a single and run in the first inning and two-run double in the second. He had been on a 6-for-50 slide.